Search a number
-
+
32102423430 = 23571134074079
BaseRepresentation
bin11101111001011101…
…000001101110000110
310001212021101002010120
4131321131001232012
51011221210022210
622425254202410
72214346045140
oct357135015606
9101767332116
1032102423430
1112683a87960
12627b053406
133047b2102c
1417a7765c90
15c7d4be270
hex779741b86

32102423430 has 128 divisors (see below), whose sum is σ = 96108871680. Its totient is φ = 6667040640.

The previous prime is 32102423413. The next prime is 32102423447. The reversal of 32102423430 is 3432420123.

It is an interprime number because it is at equal distance from previous prime (32102423413) and next prime (32102423447).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 32102423430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7868131 + ... + 7872209.

It is an arithmetic number, because the mean of its divisors is an integer number (750850560).

Almost surely, 232102423430 is an apocalyptic number.

32102423430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32102423430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48054435840).

32102423430 is an abundant number, since it is smaller than the sum of its proper divisors (64006448250).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32102423430 is a wasteful number, since it uses less digits than its factorization.

32102423430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7514.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 32102423430 its reverse (3432420123), we get a palindrome (35534843553).

The spelling of 32102423430 in words is "thirty-two billion, one hundred two million, four hundred twenty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 3407 4079 6814 8158 10221 12237 17035 20395 20442 23849 24474 28553 34070 37477 40790 44869 47698 51105 57106 61185 71547 74954 85659 89738 102210 112431 119245 122370 134607 142765 143094 171318 187385 224345 224862 238490 262339 269214 285530 314083 357735 374770 428295 448690 524678 562155 628166 673035 715470 787017 856590 942249 1124310 1311695 1346070 1570415 1574034 1884498 2623390 3140830 3935085 4711245 7870170 9422490 13897153 27794306 41691459 69485765 83382918 97280071 138971530 152868683 194560142 208457295 291840213 305737366 416914590 458606049 486400355 583680426 764343415 917212098 972800710 1070080781 1459201065 1528686830 2140161562 2293030245 2918402130 3210242343 4586060490 5350403905 6420484686 10700807810 16051211715 32102423430